I. Timokhin, S. Matveev, E. Tyrtyshnikov, A. Smirnov
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Model reduction for Smoluchowski equations with particle transfer
Abstract In this paper we consider the problem of modelling a system of aggregating particles, that are being transported with stationary velocities dependent on masses of the particles in one-dimensional case. A numerical method based on the ideas of POD (Proper Orthogonal Decomposition) is constructed, and its capacity to speed up the solution up to 40 times is demonstrated.